Theoretical Study of Conversion and Decay Processes of Excited Triplet and Singlet States in a Thermally Activated Delayed Fluorescence Molecule

Quantitative understanding of the photophysical processes is essential for developing novel thermally activated delayed fluorescence (TADF) materials. Taking as an example 1,2,3,5-tetrakis(carbazol-9-yl)-4,6-dicyanobenzene, a typical TADF-active molecule, we calculated the interconversion and decay rates of the lowest excited singlet and triplet states at different temperatures as well as the prompt and delayed fluorescence efficiencies at 300 K at the first-principles level. Our results can reproduce well the experimentally available data. It is found that the reverse intersystem crossing rate (kRISC) is sharply increased by 3 orders of magnitude, while the other rates increase slightly or remain unchanged when the temperature rises from 77 to 300 K. Importantly, kRISC reaches up to 1.23 × 106 s–1 and can compete with the radiative and nonradiative decay rates of S1 (1.11 × 107 and 2.37 × 105 s–1) at 300 K, leading to an occurrence of delayed fluorescence. In addition, our calculations indicate that it i...

[1]  Y. Niu,et al.  Correlation Function Formalism for Triplet Excited State Decay: Combined Spin-Orbit and Nonadiabatic Couplings. , 2013, Journal of chemical theory and computation.

[2]  Wenjian Liu Ideas of relativistic quantum chemistry , 2010 .

[3]  M. E. Casida,et al.  Progress in time-dependent density-functional theory. , 2011, Annual review of physical chemistry.

[4]  Kazunari Yoshizawa,et al.  Computational Prediction for Singlet- and Triplet-Transition Energies of Charge-Transfer Compounds. , 2013, Journal of chemical theory and computation.

[5]  M. Seth,et al.  A perspective on the relative merits of time-dependent and time-independent density functional theory in studies of the electron spectra due to transition metal complexes. An illustration through applications to copper tetrachloride and plastocyanin , 2014 .

[6]  Christel M. Marian,et al.  Mechanism of the Triplet-to-Singlet Upconversion in the Assistant Dopant ACRXTN , 2016 .

[7]  Jacopo Tomasi,et al.  Geometries and properties of excited states in the gas phase and in solution: theory and application of a time-dependent density functional theory polarizable continuum model. , 2006, The Journal of chemical physics.

[8]  Ai-Min Ren,et al.  Nature of Highly Efficient Thermally Activated Delayed Fluorescence in Organic Light-Emitting Diode Emitters: Nonadiabatic Effect between Excited States , 2015 .

[9]  W. Thiel,et al.  Nonadiabatic decay dynamics of a benzylidene malononitrile. , 2012, The journal of physical chemistry. A.

[10]  E. Pollak,et al.  Photoinduced Cooling of Polyatomic Molecules in an Electronically Excited State in the Presence of Dushinskii Rotations , 2004 .

[11]  R. Improta UV–Visible Absorption and Emission Energies in Condensed Phase by PCM/TD‐DFT Methods , 2011 .

[12]  Walter Thiel,et al.  Benchmarks for electronically excited states: time-dependent density functional theory and density functional theory based multireference configuration interaction. , 2008, The Journal of chemical physics.

[13]  T. Penfold On Predicting the Excited State Properties of Thermally Activated Delayed Fluorescence Emitters , 2015 .

[14]  Boris F. Minaev,et al.  Theoretical DFT study of phosphorescence from porphyrins , 2005 .

[15]  Weitao Yang,et al.  Insights into Current Limitations of Density Functional Theory , 2008, Science.

[16]  Lemin Li,et al.  RELATIVISTIC DENSITY FUNCTIONAL THEORY: THE BDF PROGRAM PACKAGE , 2004 .

[17]  R. Baer,et al.  Reliable prediction of charge transfer excitations in molecular complexes using time-dependent density functional theory. , 2009, Journal of the American Chemical Society.

[18]  C. Adachi,et al.  Efficient blue organic light-emitting diodes employing thermally activated delayed fluorescence , 2014, Nature Photonics.

[19]  M. Filatov Description of electron transfer in the ground and excited states of organic donor-acceptor systems by single-reference and multi-reference density functional methods. , 2014, The Journal of chemical physics.

[20]  Wenjian Liu,et al.  On the spin separation of algebraic two-component relativistic Hamiltonians: molecular properties. , 2014, The Journal of chemical physics.

[21]  Trygve Helgaker,et al.  Excitation energies in density functional theory: an evaluation and a diagnostic test. , 2008, The Journal of chemical physics.

[22]  Wenjian Liu,et al.  On the spin separation of algebraic two-component relativistic Hamiltonians. , 2012, The Journal of chemical physics.

[23]  Thomas J Penfold,et al.  Revealing the spin–vibronic coupling mechanism of thermally activated delayed fluorescence , 2016, Nature Communications.

[24]  Chihaya Adachi,et al.  Third-generation organic electroluminescence materials , 2014 .

[25]  Kieron Burke,et al.  Memory in time-dependent density functional theory. , 2002, Physical review letters.

[26]  Yunlong Xiao,et al.  Combining spin-adapted open-shell TD-DFT with spin–orbit coupling , 2013 .

[27]  Jean-Luc Brédas,et al.  Communication: orbital instabilities and triplet states from time-dependent density functional theory and long-range corrected functionals. , 2011, The Journal of chemical physics.

[28]  Roi Baer,et al.  Tuned range-separated hybrids in density functional theory. , 2010, Annual review of physical chemistry.

[29]  M. Head‐Gordon,et al.  Failure of time-dependent density functional theory for long-range charge-transfer excited states: the zincbacteriochlorin-bacteriochlorin and bacteriochlorophyll-spheroidene complexes. , 2004, Journal of the American Chemical Society.

[30]  Michael Dolg,et al.  The Beijing four-component density functional program package (BDF) and its application to EuO, EuS, YbO and YbS , 1997 .

[31]  C. Adachi,et al.  Highly efficient blue electroluminescence based on thermally activated delayed fluorescence. , 2015, Nature materials.

[32]  S. Lin,et al.  Ultrafast Dynamics and Spectroscopy of Bacterial Photosynthetic Reaction Centers , 2002 .

[33]  Toshinari Ogiwara,et al.  Mechanism of intersystem crossing of thermally activated delayed fluorescence molecules. , 2015, The journal of physical chemistry. A.

[34]  T. Kawasaki,et al.  Dynamics in a tetrahedral network glassformer: vibrations, network rearrangements, and diffusion. , 2014, The Journal of chemical physics.

[35]  Andrew P. Monkman,et al.  The Importance of Vibronic Coupling for Efficient Reverse Intersystem Crossing in Thermally Activated Delayed Fluorescence Molecules , 2016, Chemphyschem : a European journal of chemical physics and physical chemistry.

[36]  L. Kronik,et al.  Orbital-dependent density functionals: Theory and applications , 2008 .

[37]  Carlo Adamo,et al.  The Calculations of Excited‐State Properties with Time‐Dependent Density Functional Theory , 2013 .

[38]  Zhigang Shuai,et al.  Excited state radiationless decay process with Duschinsky rotation effect: formalism and implementation. , 2007, The Journal of chemical physics.

[39]  Wenjian Liu,et al.  Theoretical study of the low-lying electronic excited states for molecular aggregates , 2013, Science China Chemistry.

[40]  Dong Wang,et al.  Aggregation induced blue-shifted emission--the molecular picture from a QM/MM study. , 2014, Physical chemistry chemical physics : PCCP.

[41]  Jacopo Tomasi,et al.  Quantum Mechanical Continuum Solvation Models , 2005 .

[42]  M. Seth,et al.  A revised electronic Hessian for approximate time-dependent density functional theory. , 2008, The Journal of chemical physics.

[43]  Benjamin T. Miller,et al.  A parallel implementation of the analytic nuclear gradient for time-dependent density functional theory within the Tamm–Dancoff approximation , 1999 .

[44]  David J. Tozer,et al.  Relationship between long-range charge-transfer excitation energy error and integer discontinuity in Kohn–Sham theory , 2003 .

[45]  C. Adachi,et al.  Highly efficient organic light-emitting diodes from delayed fluorescence , 2012, Nature.

[46]  Yingli Niu,et al.  Theory of excited state decays and optical spectra: application to polyatomic molecules. , 2010, The journal of physical chemistry. A.

[47]  Haitao Sun,et al.  Reliable Prediction with Tuned Range-Separated Functionals of the Singlet-Triplet Gap in Organic Emitters for Thermally Activated Delayed Fluorescence. , 2015, Journal of chemical theory and computation.

[48]  Zhigang Shuai,et al.  Excited states structure and processes: Understanding organic light-emitting diodes at the molecular level , 2014 .

[49]  Lei Zhang,et al.  Thermally Activated Delayed Fluorescence Materials Towards the Breakthrough of Organoelectronics , 2014, Advanced materials.

[50]  Fan Wang,et al.  The Beijing Density Functional (BDF) Program Package: Methodologies and Applications , 2003 .

[51]  Peter M W Gill,et al.  Self-consistent field calculations of excited states using the maximum overlap method (MOM). , 2008, The journal of physical chemistry. A.